#include <assert.h>
#include <stdint.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>

#include <roaring/bitset_util.h>

#if CROARING_IS_X64
#ifndef CROARING_COMPILER_SUPPORTS_AVX512
#error "CROARING_COMPILER_SUPPORTS_AVX512 needs to be defined."
#endif  // CROARING_COMPILER_SUPPORTS_AVX512
#endif
#if defined(__GNUC__) && !defined(__clang__)
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wuninitialized"
#pragma GCC diagnostic ignored "-Wmaybe-uninitialized"
#endif
#ifdef __cplusplus
using namespace ::roaring::internal;
extern "C" {
namespace roaring {
namespace api {
#endif

#if CROARING_IS_X64
static uint8_t lengthTable[256] = {
    0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4, 1, 2, 2, 3, 2, 3, 3, 4,
    2, 3, 3, 4, 3, 4, 4, 5, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
    2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 1, 2, 2, 3, 2, 3, 3, 4,
    2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
    2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6,
    4, 5, 5, 6, 5, 6, 6, 7, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
    2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 2, 3, 3, 4, 3, 4, 4, 5,
    3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
    2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6,
    4, 5, 5, 6, 5, 6, 6, 7, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
    4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8};
#endif

#if CROARING_IS_X64
ALIGNED(32)
static uint32_t vecDecodeTable[256][8] = {
    {0, 0, 0, 0, 0, 0, 0, 0}, /* 0x00 (00000000) */
    {1, 0, 0, 0, 0, 0, 0, 0}, /* 0x01 (00000001) */
    {2, 0, 0, 0, 0, 0, 0, 0}, /* 0x02 (00000010) */
    {1, 2, 0, 0, 0, 0, 0, 0}, /* 0x03 (00000011) */
    {3, 0, 0, 0, 0, 0, 0, 0}, /* 0x04 (00000100) */
    {1, 3, 0, 0, 0, 0, 0, 0}, /* 0x05 (00000101) */
    {2, 3, 0, 0, 0, 0, 0, 0}, /* 0x06 (00000110) */
    {1, 2, 3, 0, 0, 0, 0, 0}, /* 0x07 (00000111) */
    {4, 0, 0, 0, 0, 0, 0, 0}, /* 0x08 (00001000) */
    {1, 4, 0, 0, 0, 0, 0, 0}, /* 0x09 (00001001) */
    {2, 4, 0, 0, 0, 0, 0, 0}, /* 0x0A (00001010) */
    {1, 2, 4, 0, 0, 0, 0, 0}, /* 0x0B (00001011) */
    {3, 4, 0, 0, 0, 0, 0, 0}, /* 0x0C (00001100) */
    {1, 3, 4, 0, 0, 0, 0, 0}, /* 0x0D (00001101) */
    {2, 3, 4, 0, 0, 0, 0, 0}, /* 0x0E (00001110) */
    {1, 2, 3, 4, 0, 0, 0, 0}, /* 0x0F (00001111) */
    {5, 0, 0, 0, 0, 0, 0, 0}, /* 0x10 (00010000) */
    {1, 5, 0, 0, 0, 0, 0, 0}, /* 0x11 (00010001) */
    {2, 5, 0, 0, 0, 0, 0, 0}, /* 0x12 (00010010) */
    {1, 2, 5, 0, 0, 0, 0, 0}, /* 0x13 (00010011) */
    {3, 5, 0, 0, 0, 0, 0, 0}, /* 0x14 (00010100) */
    {1, 3, 5, 0, 0, 0, 0, 0}, /* 0x15 (00010101) */
    {2, 3, 5, 0, 0, 0, 0, 0}, /* 0x16 (00010110) */
    {1, 2, 3, 5, 0, 0, 0, 0}, /* 0x17 (00010111) */
    {4, 5, 0, 0, 0, 0, 0, 0}, /* 0x18 (00011000) */
    {1, 4, 5, 0, 0, 0, 0, 0}, /* 0x19 (00011001) */
    {2, 4, 5, 0, 0, 0, 0, 0}, /* 0x1A (00011010) */
    {1, 2, 4, 5, 0, 0, 0, 0}, /* 0x1B (00011011) */
    {3, 4, 5, 0, 0, 0, 0, 0}, /* 0x1C (00011100) */
    {1, 3, 4, 5, 0, 0, 0, 0}, /* 0x1D (00011101) */
    {2, 3, 4, 5, 0, 0, 0, 0}, /* 0x1E (00011110) */
    {1, 2, 3, 4, 5, 0, 0, 0}, /* 0x1F (00011111) */
    {6, 0, 0, 0, 0, 0, 0, 0}, /* 0x20 (00100000) */
    {1, 6, 0, 0, 0, 0, 0, 0}, /* 0x21 (00100001) */
    {2, 6, 0, 0, 0, 0, 0, 0}, /* 0x22 (00100010) */
    {1, 2, 6, 0, 0, 0, 0, 0}, /* 0x23 (00100011) */
    {3, 6, 0, 0, 0, 0, 0, 0}, /* 0x24 (00100100) */
    {1, 3, 6, 0, 0, 0, 0, 0}, /* 0x25 (00100101) */
    {2, 3, 6, 0, 0, 0, 0, 0}, /* 0x26 (00100110) */
    {1, 2, 3, 6, 0, 0, 0, 0}, /* 0x27 (00100111) */
    {4, 6, 0, 0, 0, 0, 0, 0}, /* 0x28 (00101000) */
    {1, 4, 6, 0, 0, 0, 0, 0}, /* 0x29 (00101001) */
    {2, 4, 6, 0, 0, 0, 0, 0}, /* 0x2A (00101010) */
    {1, 2, 4, 6, 0, 0, 0, 0}, /* 0x2B (00101011) */
    {3, 4, 6, 0, 0, 0, 0, 0}, /* 0x2C (00101100) */
    {1, 3, 4, 6, 0, 0, 0, 0}, /* 0x2D (00101101) */
    {2, 3, 4, 6, 0, 0, 0, 0}, /* 0x2E (00101110) */
    {1, 2, 3, 4, 6, 0, 0, 0}, /* 0x2F (00101111) */
    {5, 6, 0, 0, 0, 0, 0, 0}, /* 0x30 (00110000) */
    {1, 5, 6, 0, 0, 0, 0, 0}, /* 0x31 (00110001) */
    {2, 5, 6, 0, 0, 0, 0, 0}, /* 0x32 (00110010) */
    {1, 2, 5, 6, 0, 0, 0, 0}, /* 0x33 (00110011) */
    {3, 5, 6, 0, 0, 0, 0, 0}, /* 0x34 (00110100) */
    {1, 3, 5, 6, 0, 0, 0, 0}, /* 0x35 (00110101) */
    {2, 3, 5, 6, 0, 0, 0, 0}, /* 0x36 (00110110) */
    {1, 2, 3, 5, 6, 0, 0, 0}, /* 0x37 (00110111) */
    {4, 5, 6, 0, 0, 0, 0, 0}, /* 0x38 (00111000) */
    {1, 4, 5, 6, 0, 0, 0, 0}, /* 0x39 (00111001) */
    {2, 4, 5, 6, 0, 0, 0, 0}, /* 0x3A (00111010) */
    {1, 2, 4, 5, 6, 0, 0, 0}, /* 0x3B (00111011) */
    {3, 4, 5, 6, 0, 0, 0, 0}, /* 0x3C (00111100) */
    {1, 3, 4, 5, 6, 0, 0, 0}, /* 0x3D (00111101) */
    {2, 3, 4, 5, 6, 0, 0, 0}, /* 0x3E (00111110) */
    {1, 2, 3, 4, 5, 6, 0, 0}, /* 0x3F (00111111) */
    {7, 0, 0, 0, 0, 0, 0, 0}, /* 0x40 (01000000) */
    {1, 7, 0, 0, 0, 0, 0, 0}, /* 0x41 (01000001) */
    {2, 7, 0, 0, 0, 0, 0, 0}, /* 0x42 (01000010) */
    {1, 2, 7, 0, 0, 0, 0, 0}, /* 0x43 (01000011) */
    {3, 7, 0, 0, 0, 0, 0, 0}, /* 0x44 (01000100) */
    {1, 3, 7, 0, 0, 0, 0, 0}, /* 0x45 (01000101) */
    {2, 3, 7, 0, 0, 0, 0, 0}, /* 0x46 (01000110) */
    {1, 2, 3, 7, 0, 0, 0, 0}, /* 0x47 (01000111) */
    {4, 7, 0, 0, 0, 0, 0, 0}, /* 0x48 (01001000) */
    {1, 4, 7, 0, 0, 0, 0, 0}, /* 0x49 (01001001) */
    {2, 4, 7, 0, 0, 0, 0, 0}, /* 0x4A (01001010) */
    {1, 2, 4, 7, 0, 0, 0, 0}, /* 0x4B (01001011) */
    {3, 4, 7, 0, 0, 0, 0, 0}, /* 0x4C (01001100) */
    {1, 3, 4, 7, 0, 0, 0, 0}, /* 0x4D (01001101) */
    {2, 3, 4, 7, 0, 0, 0, 0}, /* 0x4E (01001110) */
    {1, 2, 3, 4, 7, 0, 0, 0}, /* 0x4F (01001111) */
    {5, 7, 0, 0, 0, 0, 0, 0}, /* 0x50 (01010000) */
    {1, 5, 7, 0, 0, 0, 0, 0}, /* 0x51 (01010001) */
    {2, 5, 7, 0, 0, 0, 0, 0}, /* 0x52 (01010010) */
    {1, 2, 5, 7, 0, 0, 0, 0}, /* 0x53 (01010011) */
    {3, 5, 7, 0, 0, 0, 0, 0}, /* 0x54 (01010100) */
    {1, 3, 5, 7, 0, 0, 0, 0}, /* 0x55 (01010101) */
    {2, 3, 5, 7, 0, 0, 0, 0}, /* 0x56 (01010110) */
    {1, 2, 3, 5, 7, 0, 0, 0}, /* 0x57 (01010111) */
    {4, 5, 7, 0, 0, 0, 0, 0}, /* 0x58 (01011000) */
    {1, 4, 5, 7, 0, 0, 0, 0}, /* 0x59 (01011001) */
    {2, 4, 5, 7, 0, 0, 0, 0}, /* 0x5A (01011010) */
    {1, 2, 4, 5, 7, 0, 0, 0}, /* 0x5B (01011011) */
    {3, 4, 5, 7, 0, 0, 0, 0}, /* 0x5C (01011100) */
    {1, 3, 4, 5, 7, 0, 0, 0}, /* 0x5D (01011101) */
    {2, 3, 4, 5, 7, 0, 0, 0}, /* 0x5E (01011110) */
    {1, 2, 3, 4, 5, 7, 0, 0}, /* 0x5F (01011111) */
    {6, 7, 0, 0, 0, 0, 0, 0}, /* 0x60 (01100000) */
    {1, 6, 7, 0, 0, 0, 0, 0}, /* 0x61 (01100001) */
    {2, 6, 7, 0, 0, 0, 0, 0}, /* 0x62 (01100010) */
    {1, 2, 6, 7, 0, 0, 0, 0}, /* 0x63 (01100011) */
    {3, 6, 7, 0, 0, 0, 0, 0}, /* 0x64 (01100100) */
    {1, 3, 6, 7, 0, 0, 0, 0}, /* 0x65 (01100101) */
    {2, 3, 6, 7, 0, 0, 0, 0}, /* 0x66 (01100110) */
    {1, 2, 3, 6, 7, 0, 0, 0}, /* 0x67 (01100111) */
    {4, 6, 7, 0, 0, 0, 0, 0}, /* 0x68 (01101000) */
    {1, 4, 6, 7, 0, 0, 0, 0}, /* 0x69 (01101001) */
    {2, 4, 6, 7, 0, 0, 0, 0}, /* 0x6A (01101010) */
    {1, 2, 4, 6, 7, 0, 0, 0}, /* 0x6B (01101011) */
    {3, 4, 6, 7, 0, 0, 0, 0}, /* 0x6C (01101100) */
    {1, 3, 4, 6, 7, 0, 0, 0}, /* 0x6D (01101101) */
    {2, 3, 4, 6, 7, 0, 0, 0}, /* 0x6E (01101110) */
    {1, 2, 3, 4, 6, 7, 0, 0}, /* 0x6F (01101111) */
    {5, 6, 7, 0, 0, 0, 0, 0}, /* 0x70 (01110000) */
    {1, 5, 6, 7, 0, 0, 0, 0}, /* 0x71 (01110001) */
    {2, 5, 6, 7, 0, 0, 0, 0}, /* 0x72 (01110010) */
    {1, 2, 5, 6, 7, 0, 0, 0}, /* 0x73 (01110011) */
    {3, 5, 6, 7, 0, 0, 0, 0}, /* 0x74 (01110100) */
    {1, 3, 5, 6, 7, 0, 0, 0}, /* 0x75 (01110101) */
    {2, 3, 5, 6, 7, 0, 0, 0}, /* 0x76 (01110110) */
    {1, 2, 3, 5, 6, 7, 0, 0}, /* 0x77 (01110111) */
    {4, 5, 6, 7, 0, 0, 0, 0}, /* 0x78 (01111000) */
    {1, 4, 5, 6, 7, 0, 0, 0}, /* 0x79 (01111001) */
    {2, 4, 5, 6, 7, 0, 0, 0}, /* 0x7A (01111010) */
    {1, 2, 4, 5, 6, 7, 0, 0}, /* 0x7B (01111011) */
    {3, 4, 5, 6, 7, 0, 0, 0}, /* 0x7C (01111100) */
    {1, 3, 4, 5, 6, 7, 0, 0}, /* 0x7D (01111101) */
    {2, 3, 4, 5, 6, 7, 0, 0}, /* 0x7E (01111110) */
    {1, 2, 3, 4, 5, 6, 7, 0}, /* 0x7F (01111111) */
    {8, 0, 0, 0, 0, 0, 0, 0}, /* 0x80 (10000000) */
    {1, 8, 0, 0, 0, 0, 0, 0}, /* 0x81 (10000001) */
    {2, 8, 0, 0, 0, 0, 0, 0}, /* 0x82 (10000010) */
    {1, 2, 8, 0, 0, 0, 0, 0}, /* 0x83 (10000011) */
    {3, 8, 0, 0, 0, 0, 0, 0}, /* 0x84 (10000100) */
    {1, 3, 8, 0, 0, 0, 0, 0}, /* 0x85 (10000101) */
    {2, 3, 8, 0, 0, 0, 0, 0}, /* 0x86 (10000110) */
    {1, 2, 3, 8, 0, 0, 0, 0}, /* 0x87 (10000111) */
    {4, 8, 0, 0, 0, 0, 0, 0}, /* 0x88 (10001000) */
    {1, 4, 8, 0, 0, 0, 0, 0}, /* 0x89 (10001001) */
    {2, 4, 8, 0, 0, 0, 0, 0}, /* 0x8A (10001010) */
    {1, 2, 4, 8, 0, 0, 0, 0}, /* 0x8B (10001011) */
    {3, 4, 8, 0, 0, 0, 0, 0}, /* 0x8C (10001100) */
    {1, 3, 4, 8, 0, 0, 0, 0}, /* 0x8D (10001101) */
    {2, 3, 4, 8, 0, 0, 0, 0}, /* 0x8E (10001110) */
    {1, 2, 3, 4, 8, 0, 0, 0}, /* 0x8F (10001111) */
    {5, 8, 0, 0, 0, 0, 0, 0}, /* 0x90 (10010000) */
    {1, 5, 8, 0, 0, 0, 0, 0}, /* 0x91 (10010001) */
    {2, 5, 8, 0, 0, 0, 0, 0}, /* 0x92 (10010010) */
    {1, 2, 5, 8, 0, 0, 0, 0}, /* 0x93 (10010011) */
    {3, 5, 8, 0, 0, 0, 0, 0}, /* 0x94 (10010100) */
    {1, 3, 5, 8, 0, 0, 0, 0}, /* 0x95 (10010101) */
    {2, 3, 5, 8, 0, 0, 0, 0}, /* 0x96 (10010110) */
    {1, 2, 3, 5, 8, 0, 0, 0}, /* 0x97 (10010111) */
    {4, 5, 8, 0, 0, 0, 0, 0}, /* 0x98 (10011000) */
    {1, 4, 5, 8, 0, 0, 0, 0}, /* 0x99 (10011001) */
    {2, 4, 5, 8, 0, 0, 0, 0}, /* 0x9A (10011010) */
    {1, 2, 4, 5, 8, 0, 0, 0}, /* 0x9B (10011011) */
    {3, 4, 5, 8, 0, 0, 0, 0}, /* 0x9C (10011100) */
    {1, 3, 4, 5, 8, 0, 0, 0}, /* 0x9D (10011101) */
    {2, 3, 4, 5, 8, 0, 0, 0}, /* 0x9E (10011110) */
    {1, 2, 3, 4, 5, 8, 0, 0}, /* 0x9F (10011111) */
    {6, 8, 0, 0, 0, 0, 0, 0}, /* 0xA0 (10100000) */
    {1, 6, 8, 0, 0, 0, 0, 0}, /* 0xA1 (10100001) */
    {2, 6, 8, 0, 0, 0, 0, 0}, /* 0xA2 (10100010) */
    {1, 2, 6, 8, 0, 0, 0, 0}, /* 0xA3 (10100011) */
    {3, 6, 8, 0, 0, 0, 0, 0}, /* 0xA4 (10100100) */
    {1, 3, 6, 8, 0, 0, 0, 0}, /* 0xA5 (10100101) */
    {2, 3, 6, 8, 0, 0, 0, 0}, /* 0xA6 (10100110) */
    {1, 2, 3, 6, 8, 0, 0, 0}, /* 0xA7 (10100111) */
    {4, 6, 8, 0, 0, 0, 0, 0}, /* 0xA8 (10101000) */
    {1, 4, 6, 8, 0, 0, 0, 0}, /* 0xA9 (10101001) */
    {2, 4, 6, 8, 0, 0, 0, 0}, /* 0xAA (10101010) */
    {1, 2, 4, 6, 8, 0, 0, 0}, /* 0xAB (10101011) */
    {3, 4, 6, 8, 0, 0, 0, 0}, /* 0xAC (10101100) */
    {1, 3, 4, 6, 8, 0, 0, 0}, /* 0xAD (10101101) */
    {2, 3, 4, 6, 8, 0, 0, 0}, /* 0xAE (10101110) */
    {1, 2, 3, 4, 6, 8, 0, 0}, /* 0xAF (10101111) */
    {5, 6, 8, 0, 0, 0, 0, 0}, /* 0xB0 (10110000) */
    {1, 5, 6, 8, 0, 0, 0, 0}, /* 0xB1 (10110001) */
    {2, 5, 6, 8, 0, 0, 0, 0}, /* 0xB2 (10110010) */
    {1, 2, 5, 6, 8, 0, 0, 0}, /* 0xB3 (10110011) */
    {3, 5, 6, 8, 0, 0, 0, 0}, /* 0xB4 (10110100) */
    {1, 3, 5, 6, 8, 0, 0, 0}, /* 0xB5 (10110101) */
    {2, 3, 5, 6, 8, 0, 0, 0}, /* 0xB6 (10110110) */
    {1, 2, 3, 5, 6, 8, 0, 0}, /* 0xB7 (10110111) */
    {4, 5, 6, 8, 0, 0, 0, 0}, /* 0xB8 (10111000) */
    {1, 4, 5, 6, 8, 0, 0, 0}, /* 0xB9 (10111001) */
    {2, 4, 5, 6, 8, 0, 0, 0}, /* 0xBA (10111010) */
    {1, 2, 4, 5, 6, 8, 0, 0}, /* 0xBB (10111011) */
    {3, 4, 5, 6, 8, 0, 0, 0}, /* 0xBC (10111100) */
    {1, 3, 4, 5, 6, 8, 0, 0}, /* 0xBD (10111101) */
    {2, 3, 4, 5, 6, 8, 0, 0}, /* 0xBE (10111110) */
    {1, 2, 3, 4, 5, 6, 8, 0}, /* 0xBF (10111111) */
    {7, 8, 0, 0, 0, 0, 0, 0}, /* 0xC0 (11000000) */
    {1, 7, 8, 0, 0, 0, 0, 0}, /* 0xC1 (11000001) */
    {2, 7, 8, 0, 0, 0, 0, 0}, /* 0xC2 (11000010) */
    {1, 2, 7, 8, 0, 0, 0, 0}, /* 0xC3 (11000011) */
    {3, 7, 8, 0, 0, 0, 0, 0}, /* 0xC4 (11000100) */
    {1, 3, 7, 8, 0, 0, 0, 0}, /* 0xC5 (11000101) */
    {2, 3, 7, 8, 0, 0, 0, 0}, /* 0xC6 (11000110) */
    {1, 2, 3, 7, 8, 0, 0, 0}, /* 0xC7 (11000111) */
    {4, 7, 8, 0, 0, 0, 0, 0}, /* 0xC8 (11001000) */
    {1, 4, 7, 8, 0, 0, 0, 0}, /* 0xC9 (11001001) */
    {2, 4, 7, 8, 0, 0, 0, 0}, /* 0xCA (11001010) */
    {1, 2, 4, 7, 8, 0, 0, 0}, /* 0xCB (11001011) */
    {3, 4, 7, 8, 0, 0, 0, 0}, /* 0xCC (11001100) */
    {1, 3, 4, 7, 8, 0, 0, 0}, /* 0xCD (11001101) */
    {2, 3, 4, 7, 8, 0, 0, 0}, /* 0xCE (11001110) */
    {1, 2, 3, 4, 7, 8, 0, 0}, /* 0xCF (11001111) */
    {5, 7, 8, 0, 0, 0, 0, 0}, /* 0xD0 (11010000) */
    {1, 5, 7, 8, 0, 0, 0, 0}, /* 0xD1 (11010001) */
    {2, 5, 7, 8, 0, 0, 0, 0}, /* 0xD2 (11010010) */
    {1, 2, 5, 7, 8, 0, 0, 0}, /* 0xD3 (11010011) */
    {3, 5, 7, 8, 0, 0, 0, 0}, /* 0xD4 (11010100) */
    {1, 3, 5, 7, 8, 0, 0, 0}, /* 0xD5 (11010101) */
    {2, 3, 5, 7, 8, 0, 0, 0}, /* 0xD6 (11010110) */
    {1, 2, 3, 5, 7, 8, 0, 0}, /* 0xD7 (11010111) */
    {4, 5, 7, 8, 0, 0, 0, 0}, /* 0xD8 (11011000) */
    {1, 4, 5, 7, 8, 0, 0, 0}, /* 0xD9 (11011001) */
    {2, 4, 5, 7, 8, 0, 0, 0}, /* 0xDA (11011010) */
    {1, 2, 4, 5, 7, 8, 0, 0}, /* 0xDB (11011011) */
    {3, 4, 5, 7, 8, 0, 0, 0}, /* 0xDC (11011100) */
    {1, 3, 4, 5, 7, 8, 0, 0}, /* 0xDD (11011101) */
    {2, 3, 4, 5, 7, 8, 0, 0}, /* 0xDE (11011110) */
    {1, 2, 3, 4, 5, 7, 8, 0}, /* 0xDF (11011111) */
    {6, 7, 8, 0, 0, 0, 0, 0}, /* 0xE0 (11100000) */
    {1, 6, 7, 8, 0, 0, 0, 0}, /* 0xE1 (11100001) */
    {2, 6, 7, 8, 0, 0, 0, 0}, /* 0xE2 (11100010) */
    {1, 2, 6, 7, 8, 0, 0, 0}, /* 0xE3 (11100011) */
    {3, 6, 7, 8, 0, 0, 0, 0}, /* 0xE4 (11100100) */
    {1, 3, 6, 7, 8, 0, 0, 0}, /* 0xE5 (11100101) */
    {2, 3, 6, 7, 8, 0, 0, 0}, /* 0xE6 (11100110) */
    {1, 2, 3, 6, 7, 8, 0, 0}, /* 0xE7 (11100111) */
    {4, 6, 7, 8, 0, 0, 0, 0}, /* 0xE8 (11101000) */
    {1, 4, 6, 7, 8, 0, 0, 0}, /* 0xE9 (11101001) */
    {2, 4, 6, 7, 8, 0, 0, 0}, /* 0xEA (11101010) */
    {1, 2, 4, 6, 7, 8, 0, 0}, /* 0xEB (11101011) */
    {3, 4, 6, 7, 8, 0, 0, 0}, /* 0xEC (11101100) */
    {1, 3, 4, 6, 7, 8, 0, 0}, /* 0xED (11101101) */
    {2, 3, 4, 6, 7, 8, 0, 0}, /* 0xEE (11101110) */
    {1, 2, 3, 4, 6, 7, 8, 0}, /* 0xEF (11101111) */
    {5, 6, 7, 8, 0, 0, 0, 0}, /* 0xF0 (11110000) */
    {1, 5, 6, 7, 8, 0, 0, 0}, /* 0xF1 (11110001) */
    {2, 5, 6, 7, 8, 0, 0, 0}, /* 0xF2 (11110010) */
    {1, 2, 5, 6, 7, 8, 0, 0}, /* 0xF3 (11110011) */
    {3, 5, 6, 7, 8, 0, 0, 0}, /* 0xF4 (11110100) */
    {1, 3, 5, 6, 7, 8, 0, 0}, /* 0xF5 (11110101) */
    {2, 3, 5, 6, 7, 8, 0, 0}, /* 0xF6 (11110110) */
    {1, 2, 3, 5, 6, 7, 8, 0}, /* 0xF7 (11110111) */
    {4, 5, 6, 7, 8, 0, 0, 0}, /* 0xF8 (11111000) */
    {1, 4, 5, 6, 7, 8, 0, 0}, /* 0xF9 (11111001) */
    {2, 4, 5, 6, 7, 8, 0, 0}, /* 0xFA (11111010) */
    {1, 2, 4, 5, 6, 7, 8, 0}, /* 0xFB (11111011) */
    {3, 4, 5, 6, 7, 8, 0, 0}, /* 0xFC (11111100) */
    {1, 3, 4, 5, 6, 7, 8, 0}, /* 0xFD (11111101) */
    {2, 3, 4, 5, 6, 7, 8, 0}, /* 0xFE (11111110) */
    {1, 2, 3, 4, 5, 6, 7, 8}  /* 0xFF (11111111) */
};

#endif  // #if CROARING_IS_X64

#if CROARING_IS_X64
// same as vecDecodeTable but in 16 bits
ALIGNED(32)
static uint16_t vecDecodeTable_uint16[256][8] = {
    {0, 0, 0, 0, 0, 0, 0, 0}, /* 0x00 (00000000) */
    {1, 0, 0, 0, 0, 0, 0, 0}, /* 0x01 (00000001) */
    {2, 0, 0, 0, 0, 0, 0, 0}, /* 0x02 (00000010) */
    {1, 2, 0, 0, 0, 0, 0, 0}, /* 0x03 (00000011) */
    {3, 0, 0, 0, 0, 0, 0, 0}, /* 0x04 (00000100) */
    {1, 3, 0, 0, 0, 0, 0, 0}, /* 0x05 (00000101) */
    {2, 3, 0, 0, 0, 0, 0, 0}, /* 0x06 (00000110) */
    {1, 2, 3, 0, 0, 0, 0, 0}, /* 0x07 (00000111) */
    {4, 0, 0, 0, 0, 0, 0, 0}, /* 0x08 (00001000) */
    {1, 4, 0, 0, 0, 0, 0, 0}, /* 0x09 (00001001) */
    {2, 4, 0, 0, 0, 0, 0, 0}, /* 0x0A (00001010) */
    {1, 2, 4, 0, 0, 0, 0, 0}, /* 0x0B (00001011) */
    {3, 4, 0, 0, 0, 0, 0, 0}, /* 0x0C (00001100) */
    {1, 3, 4, 0, 0, 0, 0, 0}, /* 0x0D (00001101) */
    {2, 3, 4, 0, 0, 0, 0, 0}, /* 0x0E (00001110) */
    {1, 2, 3, 4, 0, 0, 0, 0}, /* 0x0F (00001111) */
    {5, 0, 0, 0, 0, 0, 0, 0}, /* 0x10 (00010000) */
    {1, 5, 0, 0, 0, 0, 0, 0}, /* 0x11 (00010001) */
    {2, 5, 0, 0, 0, 0, 0, 0}, /* 0x12 (00010010) */
    {1, 2, 5, 0, 0, 0, 0, 0}, /* 0x13 (00010011) */
    {3, 5, 0, 0, 0, 0, 0, 0}, /* 0x14 (00010100) */
    {1, 3, 5, 0, 0, 0, 0, 0}, /* 0x15 (00010101) */
    {2, 3, 5, 0, 0, 0, 0, 0}, /* 0x16 (00010110) */
    {1, 2, 3, 5, 0, 0, 0, 0}, /* 0x17 (00010111) */
    {4, 5, 0, 0, 0, 0, 0, 0}, /* 0x18 (00011000) */
    {1, 4, 5, 0, 0, 0, 0, 0}, /* 0x19 (00011001) */
    {2, 4, 5, 0, 0, 0, 0, 0}, /* 0x1A (00011010) */
    {1, 2, 4, 5, 0, 0, 0, 0}, /* 0x1B (00011011) */
    {3, 4, 5, 0, 0, 0, 0, 0}, /* 0x1C (00011100) */
    {1, 3, 4, 5, 0, 0, 0, 0}, /* 0x1D (00011101) */
    {2, 3, 4, 5, 0, 0, 0, 0}, /* 0x1E (00011110) */
    {1, 2, 3, 4, 5, 0, 0, 0}, /* 0x1F (00011111) */
    {6, 0, 0, 0, 0, 0, 0, 0}, /* 0x20 (00100000) */
    {1, 6, 0, 0, 0, 0, 0, 0}, /* 0x21 (00100001) */
    {2, 6, 0, 0, 0, 0, 0, 0}, /* 0x22 (00100010) */
    {1, 2, 6, 0, 0, 0, 0, 0}, /* 0x23 (00100011) */
    {3, 6, 0, 0, 0, 0, 0, 0}, /* 0x24 (00100100) */
    {1, 3, 6, 0, 0, 0, 0, 0}, /* 0x25 (00100101) */
    {2, 3, 6, 0, 0, 0, 0, 0}, /* 0x26 (00100110) */
    {1, 2, 3, 6, 0, 0, 0, 0}, /* 0x27 (00100111) */
    {4, 6, 0, 0, 0, 0, 0, 0}, /* 0x28 (00101000) */
    {1, 4, 6, 0, 0, 0, 0, 0}, /* 0x29 (00101001) */
    {2, 4, 6, 0, 0, 0, 0, 0}, /* 0x2A (00101010) */
    {1, 2, 4, 6, 0, 0, 0, 0}, /* 0x2B (00101011) */
    {3, 4, 6, 0, 0, 0, 0, 0}, /* 0x2C (00101100) */
    {1, 3, 4, 6, 0, 0, 0, 0}, /* 0x2D (00101101) */
    {2, 3, 4, 6, 0, 0, 0, 0}, /* 0x2E (00101110) */
    {1, 2, 3, 4, 6, 0, 0, 0}, /* 0x2F (00101111) */
    {5, 6, 0, 0, 0, 0, 0, 0}, /* 0x30 (00110000) */
    {1, 5, 6, 0, 0, 0, 0, 0}, /* 0x31 (00110001) */
    {2, 5, 6, 0, 0, 0, 0, 0}, /* 0x32 (00110010) */
    {1, 2, 5, 6, 0, 0, 0, 0}, /* 0x33 (00110011) */
    {3, 5, 6, 0, 0, 0, 0, 0}, /* 0x34 (00110100) */
    {1, 3, 5, 6, 0, 0, 0, 0}, /* 0x35 (00110101) */
    {2, 3, 5, 6, 0, 0, 0, 0}, /* 0x36 (00110110) */
    {1, 2, 3, 5, 6, 0, 0, 0}, /* 0x37 (00110111) */
    {4, 5, 6, 0, 0, 0, 0, 0}, /* 0x38 (00111000) */
    {1, 4, 5, 6, 0, 0, 0, 0}, /* 0x39 (00111001) */
    {2, 4, 5, 6, 0, 0, 0, 0}, /* 0x3A (00111010) */
    {1, 2, 4, 5, 6, 0, 0, 0}, /* 0x3B (00111011) */
    {3, 4, 5, 6, 0, 0, 0, 0}, /* 0x3C (00111100) */
    {1, 3, 4, 5, 6, 0, 0, 0}, /* 0x3D (00111101) */
    {2, 3, 4, 5, 6, 0, 0, 0}, /* 0x3E (00111110) */
    {1, 2, 3, 4, 5, 6, 0, 0}, /* 0x3F (00111111) */
    {7, 0, 0, 0, 0, 0, 0, 0}, /* 0x40 (01000000) */
    {1, 7, 0, 0, 0, 0, 0, 0}, /* 0x41 (01000001) */
    {2, 7, 0, 0, 0, 0, 0, 0}, /* 0x42 (01000010) */
    {1, 2, 7, 0, 0, 0, 0, 0}, /* 0x43 (01000011) */
    {3, 7, 0, 0, 0, 0, 0, 0}, /* 0x44 (01000100) */
    {1, 3, 7, 0, 0, 0, 0, 0}, /* 0x45 (01000101) */
    {2, 3, 7, 0, 0, 0, 0, 0}, /* 0x46 (01000110) */
    {1, 2, 3, 7, 0, 0, 0, 0}, /* 0x47 (01000111) */
    {4, 7, 0, 0, 0, 0, 0, 0}, /* 0x48 (01001000) */
    {1, 4, 7, 0, 0, 0, 0, 0}, /* 0x49 (01001001) */
    {2, 4, 7, 0, 0, 0, 0, 0}, /* 0x4A (01001010) */
    {1, 2, 4, 7, 0, 0, 0, 0}, /* 0x4B (01001011) */
    {3, 4, 7, 0, 0, 0, 0, 0}, /* 0x4C (01001100) */
    {1, 3, 4, 7, 0, 0, 0, 0}, /* 0x4D (01001101) */
    {2, 3, 4, 7, 0, 0, 0, 0}, /* 0x4E (01001110) */
    {1, 2, 3, 4, 7, 0, 0, 0}, /* 0x4F (01001111) */
    {5, 7, 0, 0, 0, 0, 0, 0}, /* 0x50 (01010000) */
    {1, 5, 7, 0, 0, 0, 0, 0}, /* 0x51 (01010001) */
    {2, 5, 7, 0, 0, 0, 0, 0}, /* 0x52 (01010010) */
    {1, 2, 5, 7, 0, 0, 0, 0}, /* 0x53 (01010011) */
    {3, 5, 7, 0, 0, 0, 0, 0}, /* 0x54 (01010100) */
    {1, 3, 5, 7, 0, 0, 0, 0}, /* 0x55 (01010101) */
    {2, 3, 5, 7, 0, 0, 0, 0}, /* 0x56 (01010110) */
    {1, 2, 3, 5, 7, 0, 0, 0}, /* 0x57 (01010111) */
    {4, 5, 7, 0, 0, 0, 0, 0}, /* 0x58 (01011000) */
    {1, 4, 5, 7, 0, 0, 0, 0}, /* 0x59 (01011001) */
    {2, 4, 5, 7, 0, 0, 0, 0}, /* 0x5A (01011010) */
    {1, 2, 4, 5, 7, 0, 0, 0}, /* 0x5B (01011011) */
    {3, 4, 5, 7, 0, 0, 0, 0}, /* 0x5C (01011100) */
    {1, 3, 4, 5, 7, 0, 0, 0}, /* 0x5D (01011101) */
    {2, 3, 4, 5, 7, 0, 0, 0}, /* 0x5E (01011110) */
    {1, 2, 3, 4, 5, 7, 0, 0}, /* 0x5F (01011111) */
    {6, 7, 0, 0, 0, 0, 0, 0}, /* 0x60 (01100000) */
    {1, 6, 7, 0, 0, 0, 0, 0}, /* 0x61 (01100001) */
    {2, 6, 7, 0, 0, 0, 0, 0}, /* 0x62 (01100010) */
    {1, 2, 6, 7, 0, 0, 0, 0}, /* 0x63 (01100011) */
    {3, 6, 7, 0, 0, 0, 0, 0}, /* 0x64 (01100100) */
    {1, 3, 6, 7, 0, 0, 0, 0}, /* 0x65 (01100101) */
    {2, 3, 6, 7, 0, 0, 0, 0}, /* 0x66 (01100110) */
    {1, 2, 3, 6, 7, 0, 0, 0}, /* 0x67 (01100111) */
    {4, 6, 7, 0, 0, 0, 0, 0}, /* 0x68 (01101000) */
    {1, 4, 6, 7, 0, 0, 0, 0}, /* 0x69 (01101001) */
    {2, 4, 6, 7, 0, 0, 0, 0}, /* 0x6A (01101010) */
    {1, 2, 4, 6, 7, 0, 0, 0}, /* 0x6B (01101011) */
    {3, 4, 6, 7, 0, 0, 0, 0}, /* 0x6C (01101100) */
    {1, 3, 4, 6, 7, 0, 0, 0}, /* 0x6D (01101101) */
    {2, 3, 4, 6, 7, 0, 0, 0}, /* 0x6E (01101110) */
    {1, 2, 3, 4, 6, 7, 0, 0}, /* 0x6F (01101111) */
    {5, 6, 7, 0, 0, 0, 0, 0}, /* 0x70 (01110000) */
    {1, 5, 6, 7, 0, 0, 0, 0}, /* 0x71 (01110001) */
    {2, 5, 6, 7, 0, 0, 0, 0}, /* 0x72 (01110010) */
    {1, 2, 5, 6, 7, 0, 0, 0}, /* 0x73 (01110011) */
    {3, 5, 6, 7, 0, 0, 0, 0}, /* 0x74 (01110100) */
    {1, 3, 5, 6, 7, 0, 0, 0}, /* 0x75 (01110101) */
    {2, 3, 5, 6, 7, 0, 0, 0}, /* 0x76 (01110110) */
    {1, 2, 3, 5, 6, 7, 0, 0}, /* 0x77 (01110111) */
    {4, 5, 6, 7, 0, 0, 0, 0}, /* 0x78 (01111000) */
    {1, 4, 5, 6, 7, 0, 0, 0}, /* 0x79 (01111001) */
    {2, 4, 5, 6, 7, 0, 0, 0}, /* 0x7A (01111010) */
    {1, 2, 4, 5, 6, 7, 0, 0}, /* 0x7B (01111011) */
    {3, 4, 5, 6, 7, 0, 0, 0}, /* 0x7C (01111100) */
    {1, 3, 4, 5, 6, 7, 0, 0}, /* 0x7D (01111101) */
    {2, 3, 4, 5, 6, 7, 0, 0}, /* 0x7E (01111110) */
    {1, 2, 3, 4, 5, 6, 7, 0}, /* 0x7F (01111111) */
    {8, 0, 0, 0, 0, 0, 0, 0}, /* 0x80 (10000000) */
    {1, 8, 0, 0, 0, 0, 0, 0}, /* 0x81 (10000001) */
    {2, 8, 0, 0, 0, 0, 0, 0}, /* 0x82 (10000010) */
    {1, 2, 8, 0, 0, 0, 0, 0}, /* 0x83 (10000011) */
    {3, 8, 0, 0, 0, 0, 0, 0}, /* 0x84 (10000100) */
    {1, 3, 8, 0, 0, 0, 0, 0}, /* 0x85 (10000101) */
    {2, 3, 8, 0, 0, 0, 0, 0}, /* 0x86 (10000110) */
    {1, 2, 3, 8, 0, 0, 0, 0}, /* 0x87 (10000111) */
    {4, 8, 0, 0, 0, 0, 0, 0}, /* 0x88 (10001000) */
    {1, 4, 8, 0, 0, 0, 0, 0}, /* 0x89 (10001001) */
    {2, 4, 8, 0, 0, 0, 0, 0}, /* 0x8A (10001010) */
    {1, 2, 4, 8, 0, 0, 0, 0}, /* 0x8B (10001011) */
    {3, 4, 8, 0, 0, 0, 0, 0}, /* 0x8C (10001100) */
    {1, 3, 4, 8, 0, 0, 0, 0}, /* 0x8D (10001101) */
    {2, 3, 4, 8, 0, 0, 0, 0}, /* 0x8E (10001110) */
    {1, 2, 3, 4, 8, 0, 0, 0}, /* 0x8F (10001111) */
    {5, 8, 0, 0, 0, 0, 0, 0}, /* 0x90 (10010000) */
    {1, 5, 8, 0, 0, 0, 0, 0}, /* 0x91 (10010001) */
    {2, 5, 8, 0, 0, 0, 0, 0}, /* 0x92 (10010010) */
    {1, 2, 5, 8, 0, 0, 0, 0}, /* 0x93 (10010011) */
    {3, 5, 8, 0, 0, 0, 0, 0}, /* 0x94 (10010100) */
    {1, 3, 5, 8, 0, 0, 0, 0}, /* 0x95 (10010101) */
    {2, 3, 5, 8, 0, 0, 0, 0}, /* 0x96 (10010110) */
    {1, 2, 3, 5, 8, 0, 0, 0}, /* 0x97 (10010111) */
    {4, 5, 8, 0, 0, 0, 0, 0}, /* 0x98 (10011000) */
    {1, 4, 5, 8, 0, 0, 0, 0}, /* 0x99 (10011001) */
    {2, 4, 5, 8, 0, 0, 0, 0}, /* 0x9A (10011010) */
    {1, 2, 4, 5, 8, 0, 0, 0}, /* 0x9B (10011011) */
    {3, 4, 5, 8, 0, 0, 0, 0}, /* 0x9C (10011100) */
    {1, 3, 4, 5, 8, 0, 0, 0}, /* 0x9D (10011101) */
    {2, 3, 4, 5, 8, 0, 0, 0}, /* 0x9E (10011110) */
    {1, 2, 3, 4, 5, 8, 0, 0}, /* 0x9F (10011111) */
    {6, 8, 0, 0, 0, 0, 0, 0}, /* 0xA0 (10100000) */
    {1, 6, 8, 0, 0, 0, 0, 0}, /* 0xA1 (10100001) */
    {2, 6, 8, 0, 0, 0, 0, 0}, /* 0xA2 (10100010) */
    {1, 2, 6, 8, 0, 0, 0, 0}, /* 0xA3 (10100011) */
    {3, 6, 8, 0, 0, 0, 0, 0}, /* 0xA4 (10100100) */
    {1, 3, 6, 8, 0, 0, 0, 0}, /* 0xA5 (10100101) */
    {2, 3, 6, 8, 0, 0, 0, 0}, /* 0xA6 (10100110) */
    {1, 2, 3, 6, 8, 0, 0, 0}, /* 0xA7 (10100111) */
    {4, 6, 8, 0, 0, 0, 0, 0}, /* 0xA8 (10101000) */
    {1, 4, 6, 8, 0, 0, 0, 0}, /* 0xA9 (10101001) */
    {2, 4, 6, 8, 0, 0, 0, 0}, /* 0xAA (10101010) */
    {1, 2, 4, 6, 8, 0, 0, 0}, /* 0xAB (10101011) */
    {3, 4, 6, 8, 0, 0, 0, 0}, /* 0xAC (10101100) */
    {1, 3, 4, 6, 8, 0, 0, 0}, /* 0xAD (10101101) */
    {2, 3, 4, 6, 8, 0, 0, 0}, /* 0xAE (10101110) */
    {1, 2, 3, 4, 6, 8, 0, 0}, /* 0xAF (10101111) */
    {5, 6, 8, 0, 0, 0, 0, 0}, /* 0xB0 (10110000) */
    {1, 5, 6, 8, 0, 0, 0, 0}, /* 0xB1 (10110001) */
    {2, 5, 6, 8, 0, 0, 0, 0}, /* 0xB2 (10110010) */
    {1, 2, 5, 6, 8, 0, 0, 0}, /* 0xB3 (10110011) */
    {3, 5, 6, 8, 0, 0, 0, 0}, /* 0xB4 (10110100) */
    {1, 3, 5, 6, 8, 0, 0, 0}, /* 0xB5 (10110101) */
    {2, 3, 5, 6, 8, 0, 0, 0}, /* 0xB6 (10110110) */
    {1, 2, 3, 5, 6, 8, 0, 0}, /* 0xB7 (10110111) */
    {4, 5, 6, 8, 0, 0, 0, 0}, /* 0xB8 (10111000) */
    {1, 4, 5, 6, 8, 0, 0, 0}, /* 0xB9 (10111001) */
    {2, 4, 5, 6, 8, 0, 0, 0}, /* 0xBA (10111010) */
    {1, 2, 4, 5, 6, 8, 0, 0}, /* 0xBB (10111011) */
    {3, 4, 5, 6, 8, 0, 0, 0}, /* 0xBC (10111100) */
    {1, 3, 4, 5, 6, 8, 0, 0}, /* 0xBD (10111101) */
    {2, 3, 4, 5, 6, 8, 0, 0}, /* 0xBE (10111110) */
    {1, 2, 3, 4, 5, 6, 8, 0}, /* 0xBF (10111111) */
    {7, 8, 0, 0, 0, 0, 0, 0}, /* 0xC0 (11000000) */
    {1, 7, 8, 0, 0, 0, 0, 0}, /* 0xC1 (11000001) */
    {2, 7, 8, 0, 0, 0, 0, 0}, /* 0xC2 (11000010) */
    {1, 2, 7, 8, 0, 0, 0, 0}, /* 0xC3 (11000011) */
    {3, 7, 8, 0, 0, 0, 0, 0}, /* 0xC4 (11000100) */
    {1, 3, 7, 8, 0, 0, 0, 0}, /* 0xC5 (11000101) */
    {2, 3, 7, 8, 0, 0, 0, 0}, /* 0xC6 (11000110) */
    {1, 2, 3, 7, 8, 0, 0, 0}, /* 0xC7 (11000111) */
    {4, 7, 8, 0, 0, 0, 0, 0}, /* 0xC8 (11001000) */
    {1, 4, 7, 8, 0, 0, 0, 0}, /* 0xC9 (11001001) */
    {2, 4, 7, 8, 0, 0, 0, 0}, /* 0xCA (11001010) */
    {1, 2, 4, 7, 8, 0, 0, 0}, /* 0xCB (11001011) */
    {3, 4, 7, 8, 0, 0, 0, 0}, /* 0xCC (11001100) */
    {1, 3, 4, 7, 8, 0, 0, 0}, /* 0xCD (11001101) */
    {2, 3, 4, 7, 8, 0, 0, 0}, /* 0xCE (11001110) */
    {1, 2, 3, 4, 7, 8, 0, 0}, /* 0xCF (11001111) */
    {5, 7, 8, 0, 0, 0, 0, 0}, /* 0xD0 (11010000) */
    {1, 5, 7, 8, 0, 0, 0, 0}, /* 0xD1 (11010001) */
    {2, 5, 7, 8, 0, 0, 0, 0}, /* 0xD2 (11010010) */
    {1, 2, 5, 7, 8, 0, 0, 0}, /* 0xD3 (11010011) */
    {3, 5, 7, 8, 0, 0, 0, 0}, /* 0xD4 (11010100) */
    {1, 3, 5, 7, 8, 0, 0, 0}, /* 0xD5 (11010101) */
    {2, 3, 5, 7, 8, 0, 0, 0}, /* 0xD6 (11010110) */
    {1, 2, 3, 5, 7, 8, 0, 0}, /* 0xD7 (11010111) */
    {4, 5, 7, 8, 0, 0, 0, 0}, /* 0xD8 (11011000) */
    {1, 4, 5, 7, 8, 0, 0, 0}, /* 0xD9 (11011001) */
    {2, 4, 5, 7, 8, 0, 0, 0}, /* 0xDA (11011010) */
    {1, 2, 4, 5, 7, 8, 0, 0}, /* 0xDB (11011011) */
    {3, 4, 5, 7, 8, 0, 0, 0}, /* 0xDC (11011100) */
    {1, 3, 4, 5, 7, 8, 0, 0}, /* 0xDD (11011101) */
    {2, 3, 4, 5, 7, 8, 0, 0}, /* 0xDE (11011110) */
    {1, 2, 3, 4, 5, 7, 8, 0}, /* 0xDF (11011111) */
    {6, 7, 8, 0, 0, 0, 0, 0}, /* 0xE0 (11100000) */
    {1, 6, 7, 8, 0, 0, 0, 0}, /* 0xE1 (11100001) */
    {2, 6, 7, 8, 0, 0, 0, 0}, /* 0xE2 (11100010) */
    {1, 2, 6, 7, 8, 0, 0, 0}, /* 0xE3 (11100011) */
    {3, 6, 7, 8, 0, 0, 0, 0}, /* 0xE4 (11100100) */
    {1, 3, 6, 7, 8, 0, 0, 0}, /* 0xE5 (11100101) */
    {2, 3, 6, 7, 8, 0, 0, 0}, /* 0xE6 (11100110) */
    {1, 2, 3, 6, 7, 8, 0, 0}, /* 0xE7 (11100111) */
    {4, 6, 7, 8, 0, 0, 0, 0}, /* 0xE8 (11101000) */
    {1, 4, 6, 7, 8, 0, 0, 0}, /* 0xE9 (11101001) */
    {2, 4, 6, 7, 8, 0, 0, 0}, /* 0xEA (11101010) */
    {1, 2, 4, 6, 7, 8, 0, 0}, /* 0xEB (11101011) */
    {3, 4, 6, 7, 8, 0, 0, 0}, /* 0xEC (11101100) */
    {1, 3, 4, 6, 7, 8, 0, 0}, /* 0xED (11101101) */
    {2, 3, 4, 6, 7, 8, 0, 0}, /* 0xEE (11101110) */
    {1, 2, 3, 4, 6, 7, 8, 0}, /* 0xEF (11101111) */
    {5, 6, 7, 8, 0, 0, 0, 0}, /* 0xF0 (11110000) */
    {1, 5, 6, 7, 8, 0, 0, 0}, /* 0xF1 (11110001) */
    {2, 5, 6, 7, 8, 0, 0, 0}, /* 0xF2 (11110010) */
    {1, 2, 5, 6, 7, 8, 0, 0}, /* 0xF3 (11110011) */
    {3, 5, 6, 7, 8, 0, 0, 0}, /* 0xF4 (11110100) */
    {1, 3, 5, 6, 7, 8, 0, 0}, /* 0xF5 (11110101) */
    {2, 3, 5, 6, 7, 8, 0, 0}, /* 0xF6 (11110110) */
    {1, 2, 3, 5, 6, 7, 8, 0}, /* 0xF7 (11110111) */
    {4, 5, 6, 7, 8, 0, 0, 0}, /* 0xF8 (11111000) */
    {1, 4, 5, 6, 7, 8, 0, 0}, /* 0xF9 (11111001) */
    {2, 4, 5, 6, 7, 8, 0, 0}, /* 0xFA (11111010) */
    {1, 2, 4, 5, 6, 7, 8, 0}, /* 0xFB (11111011) */
    {3, 4, 5, 6, 7, 8, 0, 0}, /* 0xFC (11111100) */
    {1, 3, 4, 5, 6, 7, 8, 0}, /* 0xFD (11111101) */
    {2, 3, 4, 5, 6, 7, 8, 0}, /* 0xFE (11111110) */
    {1, 2, 3, 4, 5, 6, 7, 8}  /* 0xFF (11111111) */
};

#endif

#if CROARING_IS_X64
#if CROARING_COMPILER_SUPPORTS_AVX512
CROARING_TARGET_AVX512
const uint8_t vbmi2_table[64] = {
    0,  1,  2,  3,  4,  5,  6,  7,  8,  9,  10, 11, 12, 13, 14, 15,
    16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31,
    32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47,
    48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63};
size_t bitset_extract_setbits_avx512(const uint64_t *words, size_t length,
                                     uint32_t *vout, size_t outcapacity,
                                     uint32_t base) {
    uint32_t *out = (uint32_t *)vout;
    uint32_t *initout = out;
    uint32_t *safeout = out + outcapacity;
    __m512i base_v = _mm512_set1_epi32(base);
    __m512i index_table = _mm512_loadu_si512(vbmi2_table);
    size_t i = 0;

    for (; (i < length) && ((out + 64) < safeout); i += 1) {
        uint64_t v = words[i];
        __m512i vec = _mm512_maskz_compress_epi8(v, index_table);

        uint8_t advance = (uint8_t)roaring_hamming(v);

        __m512i vbase =
            _mm512_add_epi32(base_v, _mm512_set1_epi32((int)(i * 64)));
        __m512i r1 = _mm512_cvtepi8_epi32(_mm512_extracti32x4_epi32(vec, 0));
        __m512i r2 = _mm512_cvtepi8_epi32(_mm512_extracti32x4_epi32(vec, 1));
        __m512i r3 = _mm512_cvtepi8_epi32(_mm512_extracti32x4_epi32(vec, 2));
        __m512i r4 = _mm512_cvtepi8_epi32(_mm512_extracti32x4_epi32(vec, 3));

        r1 = _mm512_add_epi32(r1, vbase);
        r2 = _mm512_add_epi32(r2, vbase);
        r3 = _mm512_add_epi32(r3, vbase);
        r4 = _mm512_add_epi32(r4, vbase);
        _mm512_storeu_si512((__m512i *)out, r1);
        _mm512_storeu_si512((__m512i *)(out + 16), r2);
        _mm512_storeu_si512((__m512i *)(out + 32), r3);
        _mm512_storeu_si512((__m512i *)(out + 48), r4);

        out += advance;
    }

    base += i * 64;

    for (; (i < length) && (out < safeout); ++i) {
        uint64_t w = words[i];
        while ((w != 0) && (out < safeout)) {
            int r =
                roaring_trailing_zeroes(w);  // on x64, should compile to TZCNT
            uint32_t val = r + base;
            memcpy(out, &val,
                   sizeof(uint32_t));  // should be compiled as a MOV on x64
            out++;
            w &= (w - 1);
        }
        base += 64;
    }

    return out - initout;
}

// Reference:
// https://lemire.me/blog/2022/05/10/faster-bitset-decoding-using-intel-avx-512/
size_t bitset_extract_setbits_avx512_uint16(const uint64_t *array,
                                            size_t length, uint16_t *vout,
                                            size_t capacity, uint16_t base) {
    uint16_t *out = (uint16_t *)vout;
    uint16_t *initout = out;
    uint16_t *safeout = vout + capacity;

    __m512i base_v = _mm512_set1_epi16(base);
    __m512i index_table = _mm512_loadu_si512(vbmi2_table);
    size_t i = 0;

    for (; (i < length) && ((out + 64) < safeout); i++) {
        uint64_t v = array[i];
        __m512i vec = _mm512_maskz_compress_epi8(v, index_table);

        uint8_t advance = (uint8_t)roaring_hamming(v);

        __m512i vbase =
            _mm512_add_epi16(base_v, _mm512_set1_epi16((short)(i * 64)));
        __m512i r1 = _mm512_cvtepi8_epi16(_mm512_extracti32x8_epi32(vec, 0));
        __m512i r2 = _mm512_cvtepi8_epi16(_mm512_extracti32x8_epi32(vec, 1));

        r1 = _mm512_add_epi16(r1, vbase);
        r2 = _mm512_add_epi16(r2, vbase);

        _mm512_storeu_si512((__m512i *)out, r1);
        _mm512_storeu_si512((__m512i *)(out + 32), r2);
        out += advance;
    }

    base += i * 64;

    for (; (i < length) && (out < safeout); ++i) {
        uint64_t w = array[i];
        while ((w != 0) && (out < safeout)) {
            int r =
                roaring_trailing_zeroes(w);  // on x64, should compile to TZCNT
            uint32_t val = r + base;
            memcpy(out, &val, sizeof(uint16_t));
            out++;
            w &= (w - 1);
        }
        base += 64;
    }

    return out - initout;
}
CROARING_UNTARGET_AVX512
#endif

CROARING_TARGET_AVX2
size_t bitset_extract_setbits_avx2(const uint64_t *words, size_t length,
                                   uint32_t *out, size_t outcapacity,
                                   uint32_t base) {
    uint32_t *initout = out;
    __m256i baseVec = _mm256_set1_epi32(base - 1);
    __m256i incVec = _mm256_set1_epi32(64);
    __m256i add8 = _mm256_set1_epi32(8);
    uint32_t *safeout = out + outcapacity;
    size_t i = 0;
    for (; (i < length) && (out + 64 <= safeout); ++i) {
        uint64_t w = words[i];
        if (w == 0) {
            baseVec = _mm256_add_epi32(baseVec, incVec);
        } else {
            for (int k = 0; k < 4; ++k) {
                uint8_t byteA = (uint8_t)w;
                uint8_t byteB = (uint8_t)(w >> 8);
                w >>= 16;
                __m256i vecA =
                    _mm256_loadu_si256((const __m256i *)vecDecodeTable[byteA]);
                __m256i vecB =
                    _mm256_loadu_si256((const __m256i *)vecDecodeTable[byteB]);
                uint8_t advanceA = lengthTable[byteA];
                uint8_t advanceB = lengthTable[byteB];
                vecA = _mm256_add_epi32(baseVec, vecA);
                baseVec = _mm256_add_epi32(baseVec, add8);
                vecB = _mm256_add_epi32(baseVec, vecB);
                baseVec = _mm256_add_epi32(baseVec, add8);
                _mm256_storeu_si256((__m256i *)out, vecA);
                out += advanceA;
                _mm256_storeu_si256((__m256i *)out, vecB);
                out += advanceB;
            }
        }
    }
    base += i * 64;
    for (; (i < length) && (out < safeout); ++i) {
        uint64_t w = words[i];
        while ((w != 0) && (out < safeout)) {
            int r =
                roaring_trailing_zeroes(w);  // on x64, should compile to TZCNT
            uint32_t val = r + base;
            memcpy(out, &val,
                   sizeof(uint32_t));  // should be compiled as a MOV on x64
            out++;
            w &= (w - 1);
        }
        base += 64;
    }
    return out - initout;
}
CROARING_UNTARGET_AVX2
#endif  // CROARING_IS_X64

size_t bitset_extract_setbits(const uint64_t *words, size_t length,
                              uint32_t *out, uint32_t base) {
    int outpos = 0;
    for (size_t i = 0; i < length; ++i) {
        uint64_t w = words[i];
        while (w != 0) {
            int r =
                roaring_trailing_zeroes(w);  // on x64, should compile to TZCNT
            uint32_t val = r + base;
            memcpy(out + outpos, &val,
                   sizeof(uint32_t));  // should be compiled as a MOV on x64
            outpos++;
            w &= (w - 1);
        }
        base += 64;
    }
    return outpos;
}

size_t bitset_extract_intersection_setbits_uint16(
    const uint64_t *__restrict__ words1, const uint64_t *__restrict__ words2,
    size_t length, uint16_t *out, uint16_t base) {
    int outpos = 0;
    for (size_t i = 0; i < length; ++i) {
        uint64_t w = words1[i] & words2[i];
        while (w != 0) {
            int r = roaring_trailing_zeroes(w);
            out[outpos++] = (uint16_t)(r + base);
            w &= (w - 1);
        }
        base += 64;
    }
    return outpos;
}

#if CROARING_IS_X64
/*
 * Given a bitset containing "length" 64-bit words, write out the position
 * of all the set bits to "out" as 16-bit integers, values start at "base" (can
 *be set to zero).
 *
 * The "out" pointer should be sufficient to store the actual number of bits
 *set.
 *
 * Returns how many values were actually decoded.
 *
 * This function uses SSE decoding.
 */
CROARING_TARGET_AVX2
size_t bitset_extract_setbits_sse_uint16(const uint64_t *words, size_t length,
                                         uint16_t *out, size_t outcapacity,
                                         uint16_t base) {
    uint16_t *initout = out;
    __m128i baseVec = _mm_set1_epi16(base - 1);
    __m128i incVec = _mm_set1_epi16(64);
    __m128i add8 = _mm_set1_epi16(8);
    uint16_t *safeout = out + outcapacity;
    const int numberofbytes = 2;  // process two bytes at a time
    size_t i = 0;
    for (; (i < length) && (out + numberofbytes * 8 <= safeout); ++i) {
        uint64_t w = words[i];
        if (w == 0) {
            baseVec = _mm_add_epi16(baseVec, incVec);
        } else {
            for (int k = 0; k < 4; ++k) {
                uint8_t byteA = (uint8_t)w;
                uint8_t byteB = (uint8_t)(w >> 8);
                w >>= 16;
                __m128i vecA = _mm_loadu_si128(
                    (const __m128i *)vecDecodeTable_uint16[byteA]);
                __m128i vecB = _mm_loadu_si128(
                    (const __m128i *)vecDecodeTable_uint16[byteB]);
                uint8_t advanceA = lengthTable[byteA];
                uint8_t advanceB = lengthTable[byteB];
                vecA = _mm_add_epi16(baseVec, vecA);
                baseVec = _mm_add_epi16(baseVec, add8);
                vecB = _mm_add_epi16(baseVec, vecB);
                baseVec = _mm_add_epi16(baseVec, add8);
                _mm_storeu_si128((__m128i *)out, vecA);
                out += advanceA;
                _mm_storeu_si128((__m128i *)out, vecB);
                out += advanceB;
            }
        }
    }
    base += (uint16_t)(i * 64);
    for (; (i < length) && (out < safeout); ++i) {
        uint64_t w = words[i];
        while ((w != 0) && (out < safeout)) {
            int r = roaring_trailing_zeroes(w);
            *out = (uint16_t)(r + base);
            out++;
            w &= (w - 1);
        }
        base += 64;
    }
    return out - initout;
}
CROARING_UNTARGET_AVX2
#endif

/*
 * Given a bitset containing "length" 64-bit words, write out the position
 * of all the set bits to "out", values start at "base" (can be set to zero).
 *
 * The "out" pointer should be sufficient to store the actual number of bits
 *set.
 *
 * Returns how many values were actually decoded.
 */
size_t bitset_extract_setbits_uint16(const uint64_t *words, size_t length,
                                     uint16_t *out, uint16_t base) {
    int outpos = 0;
    for (size_t i = 0; i < length; ++i) {
        uint64_t w = words[i];
        while (w != 0) {
            int r = roaring_trailing_zeroes(w);
            out[outpos++] = (uint16_t)(r + base);
            w &= (w - 1);
        }
        base += 64;
    }
    return outpos;
}

#if defined(CROARING_ASMBITMANIPOPTIMIZATION) && defined(CROARING_IS_X64)

static inline uint64_t _asm_bitset_set_list_withcard(uint64_t *words,
                                                     uint64_t card,
                                                     const uint16_t *list,
                                                     uint64_t length) {
    uint64_t offset, load, pos;
    uint64_t shift = 6;
    const uint16_t *end = list + length;
    if (!length) return card;
    // TODO: could unroll for performance, see bitset_set_list
    // bts is not available as an intrinsic in GCC
    __asm volatile(
        "1:\n"
        "movzwq (%[list]), %[pos]\n"
        "shrx %[shift], %[pos], %[offset]\n"
        "mov (%[words],%[offset],8), %[load]\n"
        "bts %[pos], %[load]\n"
        "mov %[load], (%[words],%[offset],8)\n"
        "sbb $-1, %[card]\n"
        "add $2, %[list]\n"
        "cmp %[list], %[end]\n"
        "jnz 1b"
        : [card] "+&r"(card), [list] "+&r"(list), [load] "=&r"(load),
          [pos] "=&r"(pos), [offset] "=&r"(offset)
        : [end] "r"(end), [words] "r"(words), [shift] "r"(shift));
    return card;
}

static inline void _asm_bitset_set_list(uint64_t *words, const uint16_t *list,
                                        uint64_t length) {
    uint64_t pos;
    const uint16_t *end = list + length;

    uint64_t shift = 6;
    uint64_t offset;
    uint64_t load;
    for (; list + 3 < end; list += 4) {
        pos = list[0];
        __asm volatile(
            "shrx %[shift], %[pos], %[offset]\n"
            "mov (%[words],%[offset],8), %[load]\n"
            "bts %[pos], %[load]\n"
            "mov %[load], (%[words],%[offset],8)"
            : [load] "=&r"(load), [offset] "=&r"(offset)
            : [words] "r"(words), [shift] "r"(shift), [pos] "r"(pos));
        pos = list[1];
        __asm volatile(
            "shrx %[shift], %[pos], %[offset]\n"
            "mov (%[words],%[offset],8), %[load]\n"
            "bts %[pos], %[load]\n"
            "mov %[load], (%[words],%[offset],8)"
            : [load] "=&r"(load), [offset] "=&r"(offset)
            : [words] "r"(words), [shift] "r"(shift), [pos] "r"(pos));
        pos = list[2];
        __asm volatile(
            "shrx %[shift], %[pos], %[offset]\n"
            "mov (%[words],%[offset],8), %[load]\n"
            "bts %[pos], %[load]\n"
            "mov %[load], (%[words],%[offset],8)"
            : [load] "=&r"(load), [offset] "=&r"(offset)
            : [words] "r"(words), [shift] "r"(shift), [pos] "r"(pos));
        pos = list[3];
        __asm volatile(
            "shrx %[shift], %[pos], %[offset]\n"
            "mov (%[words],%[offset],8), %[load]\n"
            "bts %[pos], %[load]\n"
            "mov %[load], (%[words],%[offset],8)"
            : [load] "=&r"(load), [offset] "=&r"(offset)
            : [words] "r"(words), [shift] "r"(shift), [pos] "r"(pos));
    }

    while (list != end) {
        pos = list[0];
        __asm volatile(
            "shrx %[shift], %[pos], %[offset]\n"
            "mov (%[words],%[offset],8), %[load]\n"
            "bts %[pos], %[load]\n"
            "mov %[load], (%[words],%[offset],8)"
            : [load] "=&r"(load), [offset] "=&r"(offset)
            : [words] "r"(words), [shift] "r"(shift), [pos] "r"(pos));
        list++;
    }
}

static inline uint64_t _asm_bitset_clear_list(uint64_t *words, uint64_t card,
                                              const uint16_t *list,
                                              uint64_t length) {
    uint64_t offset, load, pos;
    uint64_t shift = 6;
    const uint16_t *end = list + length;
    if (!length) return card;
    // btr is not available as an intrinsic in GCC
    __asm volatile(
        "1:\n"
        "movzwq (%[list]), %[pos]\n"
        "shrx %[shift], %[pos], %[offset]\n"
        "mov (%[words],%[offset],8), %[load]\n"
        "btr %[pos], %[load]\n"
        "mov %[load], (%[words],%[offset],8)\n"
        "sbb $0, %[card]\n"
        "add $2, %[list]\n"
        "cmp %[list], %[end]\n"
        "jnz 1b"
        : [card] "+&r"(card), [list] "+&r"(list), [load] "=&r"(load),
          [pos] "=&r"(pos), [offset] "=&r"(offset)
        : [end] "r"(end), [words] "r"(words), [shift] "r"(shift)
        :
        /* clobbers */ "memory");
    return card;
}

static inline uint64_t _scalar_bitset_clear_list(uint64_t *words, uint64_t card,
                                                 const uint16_t *list,
                                                 uint64_t length) {
    uint64_t offset, load, newload, pos, index;
    const uint16_t *end = list + length;
    while (list != end) {
        pos = *(const uint16_t *)list;
        offset = pos >> 6;
        index = pos % 64;
        load = words[offset];
        newload = load & ~(UINT64_C(1) << index);
        card -= (load ^ newload) >> index;
        words[offset] = newload;
        list++;
    }
    return card;
}

static inline uint64_t _scalar_bitset_set_list_withcard(uint64_t *words,
                                                        uint64_t card,
                                                        const uint16_t *list,
                                                        uint64_t length) {
    uint64_t offset, load, newload, pos, index;
    const uint16_t *end = list + length;
    while (list != end) {
        pos = *list;
        offset = pos >> 6;
        index = pos % 64;
        load = words[offset];
        newload = load | (UINT64_C(1) << index);
        card += (load ^ newload) >> index;
        words[offset] = newload;
        list++;
    }
    return card;
}

static inline void _scalar_bitset_set_list(uint64_t *words,
                                           const uint16_t *list,
                                           uint64_t length) {
    uint64_t offset, load, newload, pos, index;
    const uint16_t *end = list + length;
    while (list != end) {
        pos = *list;
        offset = pos >> 6;
        index = pos % 64;
        load = words[offset];
        newload = load | (UINT64_C(1) << index);
        words[offset] = newload;
        list++;
    }
}

uint64_t bitset_clear_list(uint64_t *words, uint64_t card, const uint16_t *list,
                           uint64_t length) {
    if (croaring_hardware_support() & ROARING_SUPPORTS_AVX2) {
        return _asm_bitset_clear_list(words, card, list, length);
    } else {
        return _scalar_bitset_clear_list(words, card, list, length);
    }
}

uint64_t bitset_set_list_withcard(uint64_t *words, uint64_t card,
                                  const uint16_t *list, uint64_t length) {
    if (croaring_hardware_support() & ROARING_SUPPORTS_AVX2) {
        return _asm_bitset_set_list_withcard(words, card, list, length);
    } else {
        return _scalar_bitset_set_list_withcard(words, card, list, length);
    }
}

void bitset_set_list(uint64_t *words, const uint16_t *list, uint64_t length) {
    if (croaring_hardware_support() & ROARING_SUPPORTS_AVX2) {
        _asm_bitset_set_list(words, list, length);
    } else {
        _scalar_bitset_set_list(words, list, length);
    }
}
#else
uint64_t bitset_clear_list(uint64_t *words, uint64_t card, const uint16_t *list,
                           uint64_t length) {
    uint64_t offset, load, newload, pos, index;
    const uint16_t *end = list + length;
    while (list != end) {
        pos = *(const uint16_t *)list;
        offset = pos >> 6;
        index = pos % 64;
        load = words[offset];
        newload = load & ~(UINT64_C(1) << index);
        card -= (load ^ newload) >> index;
        words[offset] = newload;
        list++;
    }
    return card;
}

uint64_t bitset_set_list_withcard(uint64_t *words, uint64_t card,
                                  const uint16_t *list, uint64_t length) {
    uint64_t offset, load, newload, pos, index;
    const uint16_t *end = list + length;
    while (list != end) {
        pos = *list;
        offset = pos >> 6;
        index = pos % 64;
        load = words[offset];
        newload = load | (UINT64_C(1) << index);
        card += (load ^ newload) >> index;
        words[offset] = newload;
        list++;
    }
    return card;
}

void bitset_set_list(uint64_t *words, const uint16_t *list, uint64_t length) {
    uint64_t offset, load, newload, pos, index;
    const uint16_t *end = list + length;
    while (list != end) {
        pos = *list;
        offset = pos >> 6;
        index = pos % 64;
        load = words[offset];
        newload = load | (UINT64_C(1) << index);
        words[offset] = newload;
        list++;
    }
}

#endif

/* flip specified bits */
/* TODO: consider whether worthwhile to make an asm version */

uint64_t bitset_flip_list_withcard(uint64_t *words, uint64_t card,
                                   const uint16_t *list, uint64_t length) {
    uint64_t offset, load, newload, pos, index;
    const uint16_t *end = list + length;
    while (list != end) {
        pos = *list;
        offset = pos >> 6;
        index = pos % 64;
        load = words[offset];
        newload = load ^ (UINT64_C(1) << index);
        // todo: is a branch here all that bad?
        card +=
            (1 - 2 * (((UINT64_C(1) << index) & load) >> index));  // +1 or -1
        words[offset] = newload;
        list++;
    }
    return card;
}

void bitset_flip_list(uint64_t *words, const uint16_t *list, uint64_t length) {
    uint64_t offset, load, newload, pos, index;
    const uint16_t *end = list + length;
    while (list != end) {
        pos = *list;
        offset = pos >> 6;
        index = pos % 64;
        load = words[offset];
        newload = load ^ (UINT64_C(1) << index);
        words[offset] = newload;
        list++;
    }
}

#ifdef __cplusplus
}
}
}  // extern "C" { namespace roaring { namespace api {
#endif
#if defined(__GNUC__) && !defined(__clang__)
#pragma GCC diagnostic pop
#endif
